114809080320 has 640 divisors, whose sum is σ = 459330600960. Its totient is φ = 26929152000.

The previous prime is 114809080307. The next prime is 114809080333. The reversal of 114809080320 is 23080908411.

114809080320 is a `hidden beast` number, since 11 + 480 + 90 + 80 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (114809080307) and next prime (114809080333).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×114809080320² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23567485 + ... + 23572355.

It is an arithmetic number, because the mean of its divisors is an integer number (717704064).

Almost surely, 2^114809080320 is an apocalyptic number.

114809080320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114809080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229665300480).

114809080320 is an abundant number, since it is smaller than the sum of its proper divisors (344521520640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114809080320 is a wasteful number, since it uses less digits than its factorization.

114809080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4923 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 114809080320 its reverse (23080908411), we get a palindrome (137889988731).

The spelling of 114809080320 in words is "one hundred fourteen billion, eight hundred nine million, eighty thousand, three hundred twenty".